Download Standard Index Form Problems L9

Standard Index Form (Problems)
Y9
Unless stated, leave your answer in standard index form.
Leave answers to an appropriate degree of accuracy.
1).
The mass of Jupiter is approximately 1.90 × 1027 kg. Write this mass as an ordinary number.
2).
a).
b).
3).
Dinosaurs died out about 64 million years ago. They first appeared on Earth
220 million years ago. For roughly how many years did they exist?
4).
A magazine which is 0.6 cm thick has 75 sheets of glossy paper. Work out the thickness of one sheet of paper.
5).
The area of the Atlantic Ocean is 8.17 × 107 sq. km, the area of the Pacific Ocean is 1.66 × 108 sq. km.
a).
Which ocean is the bigger?
b).
What is the difference in size between the two oceans?
6).
The mass of a neutron is 1.6725 × 10-24 g. The mass of an electron is 9.109 × 10-28 g.
a).
What is the difference in mass between the two?
b).
What is the mass of 3 neutrons and 2 electrons?
7).
The area of the Asian continent is approximately 4.44 × 107 sq. km and the area of the North
American continent is approximately 2.42 × 107 sq. km. Calculate, in standard index form,
a).
the total area of the two continents,
b).
the difference in area of the two continents.
8).
The speed of light is approximately 2.998 × 108 metres per second. How far can light travel in
a).
40 seconds, b).
5 minutes,
c).
7 hours,
d).
1 day?
The radius of Saturn is approximately 6.04 × 107 metres. What is the diameter of the planet?
The diameter of a red blood cell is approximately 7 × 10-6 metres. What is its radius?
9).
One atom of hydrogen weighs 1.67 × 10-24 g. One atom of oxygen weighs 2.66 × 10-23 g.
a).
Which is the heavier atom?
b).
What is the difference in mass of the two atoms?
c).
One molecule of water is made up of 2 atoms of hydrogen and 1 atom of oxygen.
What is the weight of one molecule of water?
10).
The mass of Earth is 5.976 × 1024 kg.
a).
The mass of Jupiter is 318 times the mass of Earth. What is the mass of Jupiter?
b).
Mercury’s mass is 0.038 of the Earth’s mass. Find the mass of Mercury.
11).
32 g of sulphur contains 6.02 × 1023 atoms. What is the mass of 1 atom of sulphur?
12).
The speed of radio waves is 3 × 108 m/s. How long will it take for a
radio wave to travel 100 km?
(Speed = distance ÷ time).
13). The mass of an atom of hydrogen weighs 1.66 × 10-24 g.
The mass of an atom of carbon is 1.99 × 10-23 g.
a).
Which is the heavier atom?
b).
Find the difference in weight between the two atoms.
c). A molecule of methane is made up of 1 atom of carbon and 4 atoms of hydrogen.
What is the weight of one molecule of methane?
d).
How many molecules of methane are there in 1 g?
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14).
To measure distances in space we use units that are huge.
One Astronomical Unit = 149596000 km. One Parsec = 206265 Astronomical Units.
a).
How many kilometres are there in one Parsec?
b).
The radius of the galaxy is 15000 Parsecs. What is this distance in kilometres?
c).
The star Sirius A is 2.7 Parsecs away. What is this distance in Astronomical Units?
15).
The distance light travels in one year is called a ‘light year’.
One light year equals 9.46 × 1012 km.
a).
Alpha Centuri A is 4.3 light years away. How far away is this in kilometres?
b).
The star Castor is 4.634 × 1014 km away. How many light years is this?
16).
An advertiser does an experiment to show how effective a disinfectant is
against germs. In the experiment there are 1.001 × 109 germs in a petra dish.
The disinfectant kills 9.999 × 108 germs.
The advertiser claims this ‘kills nearly all germs’.
Is this a reasonable claim? Show all your working out.
Y9
17). The mass of a neutron is 1.6725 × 10-24 g. The mass of an electron is 9.109 × 10-28 g
and the mass of a proton is 1.6748 × 10-24 g.
a).
An atom of helium is made up of two protons, two neutrons and
two electrons. What is the mass of one atom of helium?
b).
i).
An atom of carbon is made up of 6 neutrons, 6 protons and
6 electrons. What is the mass of one atom of carbon?
ii).
How many atoms of carbon are there in 1 gram of carbon?
18). The space probes Viking 1 and Voyager 1 travelled to Mars and Jupiter, respectively.
a).
The space probe Viking 1 took approximately 800 hours to get to Mars and
travelled 3.5 × 107 miles. What was the speed of Viking 1?
b).
The space probe Voyager 1 travelled from Earth to Jupiter. This journey took about
13000 hours and travelled 3.9 × 108 miles. Which space probe travelled the faster?
19).
The distance, in kilometres, of the planets from the Sun are as follows.
Pluto 5.90 × 109Venus 1.08 × 108
Saturn 1.43 × 109
Mercury 5.79 × 107Jupiter7.78 × 108
Uranus2.87 × 109
Earth 1.50 × 108
a).
b).
c).
Neptune 4.50 × 109
Mars 2.28 × 108
Put them in order of distance from the Sun, nearest to furthest.
Find the ratio of the distance of Uranus from the Sun to the distance of Mercury from
the Sun. Give your answer in the form of n : 1.
Light travels at a speed of 3.00 × 105 km/s. Calculate the time, correct to the nearest
minute, that light takes to travel from the Sun to:
i).Venus,
ii).
Earth,
iii). Saturn,
iv). Pluto.
20).
A seed merchant wishes to estimate the number of carrot seeds in a 50g packet.
He finds the total mass of 6 seeds is 8 × 10-2 g.
Estimate the number of seeds in a 50 g packet.
21).
In Star Trek, The Enterprise flies at warp speeds. The warp speed is the speed of the
Enterprise divided by the speed of light. The speed of light is 2.998 × 105 km/s.
What is the speed of the Enterprise in km/s flying at warp speed
a).
10,
b).
7,
c).
2,
d).
15?
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